{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tensorflow实现的两层ReLU网络"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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pUaNGmcQ3atQovPnmm7BarThx4gQ+//xzDBw4EBEREfjggw/K5GsQ0d0rKCjAVwtfRK3cPdipNAEAtBUPQoIKGYAEQIaAdKUZFit90LrevVg+oh1MHk71tkNuwKlWhB5//HHMnDkT/fr1u63b+fn5wd/f3/4hik71bZep4o+Dr68vBEGwXz5w4ACqVKmC7777Dm3atIGnpye2bduGw4cPo0+fPqhZsyYqV66M4OBgbNiwQXO/126NCYKApUuXol+/fvD29kbjxo3x1Vdf3TQ+b29v+Pv7o27dumjfvj3eeecdLFmyBB9++KHma7788sto0qQJvL290bBhQ7z22mv2zq6EhATMmDEDv/76q32FKSEhAQAwb948tGzZEpUqVUJAQAD+85//ID8//+4fWCI3UGC24tlFWzH/ledwdlZLPH1xFTpJGYg0JCHKkIRO0j6EipnoJGVe/XcfogyJWG98Ee2Pf4hFM0Zh6/SOWDtnLAoKCvT+dogAOFkidKdatWqFWrVq4dFHH8X27dv1DsfhTZkyBW+//Tb279+PBx54APn5+ejVqxeSk5Oxe/du9OzZE71790Z2dvYN72fGjBkYMGAAfvvtN/Tq1QuDBg3C+fPnbzueYcOGoVq1apotsipVqiAhIQGZmZmIjY3Fhx9+iPnz5wMAnnnmGbz44ou4//77cfr0aZw+fRrPPPMMAEAURSxYsAD79u3D8uXLsXHjRkyePPm2YyJyJ1ZZwZxvMvD+m8/j7dMjEGVIRD0xB7amSlGA/f/X/isKQD0x559kScxA/4urcHZWSyyd+TzyL12u+G+IqBiXXqOsVasWFi9ejLZt26KwsBBLly5Fly5dsGPHDjz00EOl3qawsBCFhYX2y3l5eeUep1VWEL/pMNKPnkdw/eoY27URDJJ+Oeqbb76JRx991H65evXqePDBB+2X//vf/+Lzzz/HV199hXHjxl33fiIiIvDss88CAGbNmoUFCxYgLS0NPXv2vK14RFFEkyZNcPToUfuxV1991f7/+vXrY9KkSVizZg0mT54MLy8vVK5cGQaDAf7+/pr7ioqK0txu5syZeOGFF/D+++/fVkxE7sAqK1jw434YUubjaeEnBEr/JD/FKSogoCj5UVXtvzbiNf+vJ+RghGUNjr+zEd/6PIZ/jZsLk8lU7t8T0bVcOhFq2rQpmjZtar/coUMHHD58GPPnz8fKlStLvc3s2bMxY8aMigoRABC/6TBiNvwOFcD2Q38CACLDGldoDMW1bdtWczk/Px9vvPEGvvnmG5w+fRpWqxVXrly56YrQAw88YP9/pUqV4OPjYx9ZcbtUVdWc0+fTTz/FggULcPjwYeTn58NqtWrqwK5nw4YNmD17Ng4cOIC8vDxYrVYUFBTg8uXLPDEm0VVWWUHs+ix8sO0PPK8mYpwhUZPI2CgqcFz1Q5L8MICSNUJ1hHMIFM5BELTJko0tIQq4uAqxMwugdHoJkWFNdP1DkNyPSydCpWnXrh22bdt23c9PnToV0dHR9st5eXkICAgo15jSj56HevX/6tXLeqpUqZLm8qRJk7B+/XrMmTMH9913H7y8vNC/f3+YzeYb3o/RaNRcFgQBiqLcdjyyLCMrKwvBwcEAgNTUVAwaNAgzZsxAjx494OvrizVr1mDu3Lk3vJ+jR4/iySefxJgxY/DWW2+hevXq2LZtG5577jmYzWYmQkQoSoKGfJCC4BPLsFQ8gEAxp0QSZEuAPpM7Y6XxKQzu2LDUBMZqMSNl+SsQjqdih7Xoj7twaRsChZwSCVGE9B2WbQGCU5/C1pfDUNnLo7y/VSIAbpgI7dmz54YDND09PeHp6VmBEQHB9atj+6E/oaLoL6bg+tUr9OvfzPbt2xEREWEvUs/Pz9dsU5W35cuX48KFC3jqqacAACkpKahXrx5eeeUV+3WOHTumuY2HhwdkWdYc++WXX6AoCubOnWsvmF+7dm05R0/kPKwWM5Jio/F23g8INOTYV3Js21y2BOhrsQuGTY5FdCVvRN/g/gxGD3Qc+R4AoAOKiq0jlqag3cnleEraYk+IVBWoJlxClCER7eVM/Dp7Fto98gSMXV4CJLd7m6IK5lS/Yfn5+Th06JD98pEjR7Bnzx5Ur14dgYGBmDp1Kk6ePIkVK1YAAGJiYtCgQQPcf//9KCgowNKlS7Fx40b8+OOPen0LpRrbtREAaGqEHEnjxo2RlJSE3r17QxAEvPbaa3e0snMrLl++jDNnzmja5+fPn48xY8aga9eu9niys7OxZs0aBAcH45tvvsHnn3+uuZ/69evbfz/q1q2LKlWq4L777oPFYkFcXBx69+6N7du3Y/HixeXyfRA5mwKzFaveHY8RljUo3lgrCsAxxQ/Zih92oxmsHaMw4dHmd7R9ZfIwYM1/OqPA3AHDP0pF8IkEDDd8h2rCJfvXChUzi5KuLXux/chfCBn+LrfKqFw51W/Xzp070bp1a7Ru3RoAEB0djdatW2P69OkAis6RU7xuxWw248UXX0TLli3xyCOP4Ndff8WGDRvQvXt3XeK/HoMkIjKsMVaNDEFkWGOHe9LPmzcP1apVQ4cOHdC7d2/06NHjusXmd+vDDz9ErVq10KhRI4SHhyMzMxOffvqpppj5X//6FyZOnIhx48ahVatWSElJwWuvvaa5n6eeego9e/ZE165dUaNGDfzvf//Dgw8+iHnz5uGdd95BixYtsHr1asyePbtcvg8iZ1JQUICPZo3BU5b/K3UbLEnpjLSHP8J/3vgA0T1b3PVrlMnDgP+N6YT/vL4Enxl7Q7laG1C8wFoUgObHP0HC7DFstadyJaiqqt78au4rLy8Pvr6+yM3NLVGMW1BQgCNHjqBBgwbsdnBR/BmTq8u/YsbHs/6DceI6iELJbbD1Ht0weFJsuf3+Wy1m/JwwDerxVEiqgvZiZok4PjYORMTURQ73RyI5thu9fxfH3yoiIjdVYLaizVvJaI399pUgQQAuqJUQY+2PqbWXIWLqonL9I8Bg9MDDo+Yg+NWfMFZ6DTHW/rigVtKsDD1l+T+uDFG5YSJEROSGbNthS4WZkKDYt6cUFUiQH4fa+SWsGNWhwlZhTB4GpE57DElVBmGZ9XHNdlk14RJGWNbgo7fHo8BsrZB4yH04VbE0ERHdvQKzFR+9PR5j1LUQpaLk52elOWSI2I1mGPPqQl22gk0eBmx+qQuGfOCBmBMoUUj9gJyJdrOSkTatO2eWUZnhihARkRuxrQT9W/3Gvh0mCoAMESPVVzFi2vu61sMZJBErR3dAWuBIzcqQogISFMTLb+KjWdwmo7LDlJqIyI18tXBS0UrQNQXJv0nN8eu0Rx1ipcUgiVg1MgQLfvRB7HagrXAAEv4ppO6oZuDjOSILqKlM8DeIiMhNFJitqJW7u0Rh9CJhAJ6bEucQSZCNQRIR/fj9GDN9CcZK0yFD1KxgPWX5PyTNnwCr5cZnuCe6GSZCRERuwLYlFijkQL2mMPq5aeXbGXY3TB4GpE3rjp1qUIkC6v4XVyIpNhpWuXxO8ErugYkQEZGLs8oKVs2JxBh1LeqJOVBRdLboGGt/qB2jHWolqDQmDwPUhyeW2lpfK3c3Bi/dwWSI7hgTISIiF2aVFQxeugNNCzM0W0vZqh+SfAZhwmPN9A3wFk14tHmpBdSBQg7aZS/F0A9TmAzRHWEiRETkwhYm70e77KUltsR+k5pjw8TOTlNsbCug3hkwHDHW/jim+EEAUE/MQZQhEW2PL0Nc8qGb3g/RtZzjGUBlRhCEG3688cYbd3XfX3zxxW3FUKlSJTRu3BgRERH45ZdfbvtrdunSBVFRUbcfLJEbKDBbIW6djyhDomZLbKHytMMVR98KgyRixaii1vps1U+zRRYsHsCylCNcFaLbxkTIzZw+fdr+ERMTAx8fH82xSZMmVUgcy5Ytw+nTp7Fv3z7Ex8cjPz8fISEhWLFiRYV8fSJ3ELEsXTM+w7YlJnea7LDF0TdjWxk67du6xBZZhGUtt8jotjERcjP+/v72D19fXwiCoDm2Zs0aNGvWDCaTCUFBQZqp72azGePGjUOtWrVgMplQr149+/T2+vXrAwD69esHQRDsl6+natWq8Pf3R/369fHYY48hMTERgwYNwrhx43DhwgUAwF9//YVnn30WderUgbe3N1q2bIn//e9/9vuIiIjATz/9hNjYWPsK09GjRyHLMp577jk0aNAAXl5eaNq0KWJjY8v2gSRycAVmK3YcOY90JUiTMJz2bY3x3e/TN7i7ZJBEhEfOwyJhQKlbZCyeptvBRIjsVq9ejenTp+Ott97C/v37MWvWLLz22mtYvnw5AGDBggX46quvsHbtWhw8eBCrV6+2Jzzp6ekA/lnpsV2+HRMnTsTFixexfv16AEXtvm3atME333yDjIwMjB49GkOGDEFaWhoAIDY2FqGhoRg1apR9RSsgIACKoqBu3bpYt24dMjMzMX36dEybNg1r164tg0eJyPFZLWasencsVhhnQYCCWGs4tsotsFB5GuGR85ymLuhGDEYPmDtOKnWL7Ocj51kvRLfMuTaIXZVsBbbOBbJTgcBQoNOLgFTxP5rXX38dc+fORXh4OACgQYMGyMzMxJIlSzBs2DBkZ2ejcePGePjhhyEIAurVq2e/bY0aNQD8s9JzJ4KCggAAR48eBQDUqVNHs1U3fvx4/PDDD1i7di3atWsHX19feHh4wNvbW/M1JUnCjBkz7JcbNGiA1NRUrF27FgMGDLij2IichVVWkBQbjRGWNRAloKOYgRhrfwyxTMP4LvfBYPTQO8QyM75bYyT92hrKxaKOONsYjpXGWdi9tRkKOuszM42cCxMhR7B1LrB5NgAV+GNz0bEuL1doCJcuXcLhw4fx3HPPYdSoUfbjVqsVvr6+AIq2oh599FE0bdoUPXv2xJNPPonHHnuszGJQr7a0CFf/vJNlGbNmzcLatWtx8uRJmM1mFBYWwtvb+6b3FR8fj48//hjZ2dm4cuUKzGYzWrVqVWaxEjmquI1ZaJu7G6JUdNm2SlLXxwuRjzbWN7gyZtsiS4wtOp/QtWM4EheaMGDSQr3DJAfHRMgRZKcCuLqJD/Xq5YqVn58PAPjwww8REhKi+ZwkFb2iPvTQQzhy5Ai+++47bNiwAQMGDEBYWBgSExPLJIb9+/cDKFrBAYD33nsPsbGxiImJQcuWLVGpUiVERUXBbL7xKfXXrFmDSZMmYe7cuQgNDUWVKlXw3nvvYceOHWUSJ5GjslrM8Nw+x94qb5sjthvNnKpV/nYYjB4In7gAg5fuwNgTkzSF4bXydqPAbHW67jiqWPztcASBoVdXglQAQtHlClazZk3Url0bf/zxBwYNGnTd6/n4+OCZZ57BM888g/79+6Nnz544f/48qlevDqPRCFmW7zgGWxdbWFgYAGD79u3o06cPBg8eDABQFAW///47mjdvbr+Nh4dHia+5fft2dOjQAf/5z3/sxw4fPnzHcRE5A9uW2AvqWohiUQKUrfjhM7kzxM6Of/bou2HrJHv/jWboqP6zTRaIHHw0a0zRqQK4RUbX4brPDGfS6cWif4vXCOlgxowZmDBhAnx9fdGzZ08UFhZi586duHDhAqKjozFv3jzUqlULrVu3hiiKWLduHfz9/VG1alUARZ1jycnJ6NixIzw9PVGtWrXrfq2///4bZ86cQWFhIX7//XcsWbIEX3zxBVasWGG/v8aNGyMxMREpKSmoVq0a5s2bh7Nnz2oSofr162PHjh04evQoKleujOrVq6Nx48ZYsWIFfvjhBzRo0AArV65Eenq6faWJyBWVtiWWrfghLXAkVoUF6RtcBTBIIqwdoxCzVcVT0hYECjmoJ+ZgjLqWk+rphvhb4QgkQ1FN0NAviv7VoVAaAEaOHImlS5di2bJlaNmyJR555BEkJCTYE4gqVarg3XffRdu2bREcHIyjR4/i22+/hSgW/RrNnTsX69evR0BAAFq3bn3DrzV8+HDUqlULQUFBGDNmDCpXroy0tDT8+9//tl/n1VdfxUMPPYQePXqgS5cu8Pf3R9++fTX3M2nSJEiShObNm6NGjRrIzs7G888/j/DwcDzzzDMICQnBX3/9pVkdInJFSbtOlmiV3ys1x6qRIW6TAEx4tDmSfAaV6CRrWpjBlnq6LkG1VahSqfLy8uDr64vc3Fz4+PhoPldQUIAjR46gQYMGXHZ1UfwZkzMoKCjAoplj0VbYDwkqZAhIV5pB7Pwiono0v/kduJACsxUfzRqDMepa+xbZcdW2Reh+j4c7u9H7d3Hu8WcCEZGLsk2Wj5QS0Unah/ZiJtKVZkgwDsA4N9gSu5bJw4DnpsRhofJ0iZMtitvmocBs1TtEcjBMhIiInFjcxqwSk+WDxQMY3qGB22yJXctkMkHu/FKJLbLW2I+IZbd/sldybe75LCEicgFWWUFCytEStUEHPVs4/RiNuzW+W+NS55GFHF+KgoICfYMjh8JEiIjISS1M3o9h5rUIFvfjZ6U5tsr3Y6HyNAZPinXb1SAb28kWr90ii5QSsWpOJAunyc69nyllhPXmros/W3JUVlmBR0oMogza2iBnnixf1gxGD1geLjmPjF1kVBwTobtgNBoBAJcvX9Y5Eiovtp+t7WdN5ChiN/yOlnKmpjYo1Pi722+JXSsyrAkOerbQbJGlK0EczEp2PKHiXZAkCVWrVkVOTg4AwNvb2z4ni5ybqqq4fPkycnJyULVqVfuYESJHYJUVfLD1CAQ1CB3Ff86krAa2d/stsWsZJBGDJ8Vi4VsyWmM/dipNIFwdzLo3pTmsXeNdahAt3T4mQnfJNvXclgyRa6latapmsj2RI4jbmIVCq4J49AFQ1CX2ixqEcUPf0jkyx2TrIhuSfAgTpKSiVnrbYNZYT4RPXMAE0o0xEbpLgiCgVq1a8PPzg8Vi0TscKkNGo5ErQeRwbINVVxozka4EIV7uA1kOR/sG1RHFlY3rGt+tMXb8cR7BJw5oB7Pm7kZc8iFMfKyJvgGSbpgIlRFJkvimSUTlLm3FK0WDVSWgo5gBAFgi9EfC8GCdI3NstsGsH/y3uWYwa7oShISUIxjf/T6uCrkpJkJERE7CKisQjqeWOHmi0KmRS0+XLysGSYS5QxRiflIQLBaNIwkW9wOWtVi4IYDjN9wU018iIicRtzELqZamJQarslPs1o3rXjR+JF1phvZiJjpJ+xBlSIRH6ny207spJkJERE7AVhtU/OSJMdb+MIdO5JbObTBIIoZ3rI9gUVsr1FLO5LmF3BSfPURETsBWG1T85InLPZ5xy8Gqd+t64zfaZS/Fwg0H9A2OKhwTISIiB3e92qCI0PpcDboDtvEbi4UBJSbUc4vM/fAZRETk4FgbVPYMRg8Udiw5fqOlnInY9Vn6BkcVim0GREQOLmnXSZyS/zl5YroSBLEza4Pu1vhujZH0a2soF7Xt9B9s+wORjzbm4+smmAgRETkwq8WMp/M/QWvjfqQrQYiwvAyDwYh9rA26a7YtstgZV9BWKNZOryRi4YZ6bKd3E0yEiIgcWNqKVzBOXFc0EuLqCRQ/rzKIqxVlxGD0wI6AkVCzl/4zekPch4XbBBR0XczzM7kBPpOIiBzU9Yqkw1vX1TcwF5MwPBgh0kHN49wa+xE2fwsLp90AEyEiIgfFIumKYfIwQKgXqnmc05UgnLhwBXHJh/QNjsod1/yIiByQVVaQkHIU+SySrhDthr6Fj9/JQ9PCDOxUmkCAgpXGWdi9tRkKOi+EyWTSO0QqJ4KqqqreQTiyvLw8+Pr6Ijc3Fz4+PnqHQ0RuIubHfVB+mmdPgOLlPqjsZcIvr4YxESonBWYrHnxzPZ5XE+31QooKfGwciIipi/i4O5lbff/mihARkYOxygo8UmLwgr14t6hIWgh9mW/G5cjkYcALjzRE2y3a8RtNCzMQl3wIEx9rom+AVC6c6hm1ZcsW9O7dG7Vr14YgCPjiiy9uepvNmzfjoYcegqenJ+677z4kJCSUe5xERHcjbmMWWsqZmjfjUOPvrA2qAOO7NcZBzxYl6oWSdp/QNzAqN06VCF26dAkPPvgg4uPjb+n6R44cwRNPPIGuXbtiz549iIqKwsiRI/HDDz+Uc6RERHfGVhuUrgRp3ozVgPZcDaoABknE4EmxiJX7Y6t8P35WmiNY3I/wi6tRUFCgd3hUDpxqa+zxxx/H448/fsvXX7x4MRo0aIC5c+cCAJo1a4Zt27Zh/vz56NGjR3mFSUR0x+I2ZiH3ihXx+KdIeq/UHKOHvqVzZO7DZDIhqcogqHmr/zm3kLoPH88xsFbIBbn0TzM1NRVhYWGaYz169EBqaup1b1NYWIi8vDzNBxFRRUnadRIAIEPCAjkcQyzTUNjhJRiMHjpH5l7CH6qDYLH0WiFyLS6dCJ05cwY1a9bUHKtZsyby8vJw5cqVUm8ze/Zs+Pr62j8CAgIqIlQiIvs4jZXGWZggJUGCDE+DyNogHVyvVmjxlsMoMFv1DY7KlEsnQndi6tSpyM3NtX8cP35c75CIyE3Yxml0kjIQZUjEWOlL+FXx5FaMDmy1QguVpzW1Qs+riegxbxPPOO1CnKpG6Hb5+/vj7NmzmmNnz56Fj48PvLy8Sr2Np6cnPD09KyI8IiK7643TEDhOQzcmkwly55eQvvldzRwyXATikuuxnd5FuPSfGaGhoUhOTtYcW79+PUJDQ3WKiIiodByn4ZjGd2uMhz2zSiSo3CJzHU6VCOXn52PPnj3Ys2cPgKL2+D179iA7OxtA0bbW0KFD7dd/4YUX8Mcff2Dy5Mk4cOAA3n//faxduxYTJ07UI3wiolLZWubj5T6IsfbHVrkFYqz9YQ7lOA29GSQRrTs+rklQJShYKszEVwuiAJnJkLNzqq2xnTt3omvXrvbL0dHRAIBhw4YhISEBp0+ftidFANCgQQN88803mDhxImJjY1G3bl0sXbqUrfNE5FDe33gQw8xrEWwsGqcRYXm5aJxGWJDeoREAY5eXkHL0POSjKZCgoL1YdLJL5WIG5C11IXWdoneIdBc4a+wmOGuMiMpb4txxCM9baZ9tFWPtD+GRl1mD4kCssoL7X/8BS4WZ6CRl2I8f8w1BvYk/6hgZXc+tvn9zzZWISEdWWUHgpd80NSgPe2axNsjBGCQRozs1KHHG7y/PB7JWyMkxESIi0lHcxixsK2yseXPNrvQAa4McUGRYE6wyPnW1jquopb41MrHq3bGwWsx6h0d3yKlqhIiIXE3SrpM4Jf8zTiNdCYLhgbE6R0WlMUgihnRshNjkcExA0j8t9ZZ9+HmFDzo8957eIdIdYCJERKQTq6wg52KhfZwGZMDTIGJft6Z6h0bXMb5bY3y26ySC87XjN9RjqSgwW2Hy4Nuqs+HaKxGRThYmF52puPhIDZ5J2rEZJBEbJnbGbjTTbGfukJsiYlm6vsHRHWHqSkSkA6uswCMlBi/Yz1hc1IkktH5Z58joZkweBiidJiLmJxXB4n5IKPpXPL4UVksbDsh1Mvyzg4hIB/GbDqOlnKnZXgk1/s5uMScxrnszLBH6I11phvZiJjpJ+zBBSkTailf0Do1uExMhIiIdpB35q0QrthrQnttiTsLWTh8sll4rRM6DzzgiogpmlRUcO39ZM1LjY+NAtBv6lt6h0W2IDGuCvVLzErVCYfO3cDq9E2GNEBFRBYvbmIUTF64AxbrFOgbeg5GsLXEqBkmEuUMUYn5SNLVCyFuNhRv8EdWjud4h0i3gihARUQWyWszw3D5H0ykGAO0a3KNzZHQnxnVvhiSfQZpaoShDIsRt87hF5iSYCBERVaC0Fa/gBXUtOkkZiDIkYqz0JXy9jBjbtZHeodEdsLXTh0gHNbVCrbGfW2ROgokQEVEFMp7coXnDDBYPICK0PouknZjJwwChXqimVihdCcKJC1cQl3xI3+DopvjMIyKqIFZZQbrSVPOGuVdqzpZ5F9Bu6Fv42DgQW+UWiLWGQ4CClcZZ8Eh5j3PIHByLpYmIKkjcxiwsLOiNAkmxzxUTO0/kapALMBg9MHhyPO5/40eMFT77Zw6ZmoGfV1TlHDIHxkSIiKiCJO06qZkr5mMyYFdYkN5hURkxeRhQ29dUYg6ZcPxnWGWFCa+D4k+FiKgCWC1mPJ3/iaZbTBAEvjm6mPCH6pQ4UWaqpQkGL93BwmkHxRUhIqIKkLbiFYwT12nmin1uGqRzVFTWxndrjKGHhyPmOLTnFspeioUbfHluIQfERIiIqAKU1i0mtK6rb1BU5gySiBWjOqDNzEuAee0/tULiPixOFWENW8JVQAfDnwYRUTljt5h7MUgiIjrULzGHrKWcidj1WfoGRyUwESIiKmdxG7Mwt6C3fa5YjLU/zKHsFnNl47s1xmnf1prkN1DIgXE72+kdjaCqqqp3EI4sLy8Pvr6+yM3NhY+Pj97hEJGTscoK2sxcj9wr/4xb8PUy4pdXw5gIuTirxYy4GWMQLm5BoJADQShKiH4OHM12+gpwq+/ffBYSEZWjhcn7Mcy8VtMt5utlZBLkBgxGD+wIGIls1Q9CsS0y9Vgq55A5ED4TiYjKUZX0OEQZEjWzxfq1qqN3WFRBEoYHYzeaabbIdshNOYfMgbBrjIionFhlBc0t+zQFs6HG3xHMImm3YfIwQOk0ETE/qdp2+rzVGPqhB1aM6sDVQZ3x0SciKidxG7OQammiWQ1QA9rzjc/NjOveDEk+g5CuNEN7MROdpH2IMiSi7fFlHMrqAPhsJCIqJ0m7TiJe7mPvFlskDEC7oW/pHRZVMIMkYsPEzgiRDpY4l9TiLYdZL6QzJkJEROUkr8Bqny02xDINHwhPw2D00Dss0oHJwwChXqhmdVCCgqXCTHy1IAqQmQzphTVCRETlwCoruPbsJD4mvuS6s3ZD30Ji7BXUyt0NCQrai5kQBUC5mAF5S11IXafoHaJb4ooQEVE5WJi8HxEWbdt8OEdquDWD0QPhExdgpPoqZIiabbJ9qd+zi0wn/POEiKiMWWUFHikxeME+ZyoDJqOI0d2f1Ds00plBEjG6UwOkbwlCRzGjaEVIBTZcaoTk5EOY+FgTvUN0O0yEiIjKWNzGLLSVMyFKRZeLCmMPsluMAACRYU3QLvUpwKKdUL9767so6LwQJpNJ7xDdCp+VRERl7PPdp5CuBGkKYy11QvQNihyGQRIxpGMjLJDDNS3148R1WDUnkltkFYyJEBFRGbLKCnKvWDRt84vZNk/XGN+tMdo3qF5iQn3TwgwMXrqDyVAFYiJERFSG4jZmIfeKRdM2X9jhJbbNk4ZBErFqZAgOerYoMaG+XfZSLPhxv74BuhEmQkREZcRqMcNz+5wSA1bHc6QGlcIgiRg8KRYLladxTPGDAKCemIMoQyIMKfO5KlRBmAgREZWR9JWv4gV1rWbAKifN042YTCbInV8qMaG+NfZzi6yC8NlJRFRGKp9NLzFCgZPm6WbGd2t83S2yhRsO6BucG2AiRERUBqyygh2ydsDqQc8W3Bajm7rRFpm4bR5nkZUzJkJERGUgbmMWZuc/Ye8Ui7H2x09+Q7ktRrfkRltk7WYlMxkqR3yGEhGVgc93n9J0ii2Qw9G2oZ/eYZETGd+tMU77ti4xmDVefpODWcsRzyxNRFQGShuwOrZrI52iIWdkkESER87Dx+9Y0LQwo8RgVsvmOjB2n6p3mC6HK0JERHfJajFjmOVTTdt881o+3Baj22YwemDw5HhEWKeVGMy6c+s3LrVFZrWYkfrxZOyd3RWpH0+G1WLWJQ4+S4mI7lLailcwwrJG0zYv2d7BiG6TycOA/3RpVGJMS23lLD6aNQYFBQX6BlgGrLKCpNhohBxbgpaFuxBybAnSVryiSyxOlwjFx8ejfv36MJlMCAkJQVpa2nWvm5CQAEEQNB8cZkdEZc14ckeJtvl2De7RNyhyapFhTfBllYGIsfbXdJKNUdfio7fHO/3KUOyG31Erd7fmeWM8uUOXWJwqEfr0008RHR2N119/Hbt27cKDDz6IHj16ICcn57q38fHxwenTp+0fx44dq8CIicjVWWUF6UpTzV/ue6XmrA+iu2KQRPwQ3RUJxgElOskekDOdupPMajHDuG0OAoUcqMWeN79JzXWJx6kSoXnz5mHUqFEYPnw4mjdvjsWLF8Pb2xsff/zxdW8jCAL8/f3tHzVr1qzAiInI1cVtzMLcgt6atnlz6ETWB9FdM3kYkDatO36Tmpc42WKEZS16zN3kdGeetm2JjRPXoZ6YAxXAMcUPMdb+uNh2gi4xOc0z1Ww245dffkFYWJj9mCiKCAsLQ2pq6nVvl5+fj3r16iEgIAB9+vTBvn37KiJcInIDVllBQspRTdv8co9nMC4sSO/QyEWYPAx4bkocFgkDSpxssU/+Gqcaw2GVFQxeuqPElli26oekKoN0e944TSL0559/QpblEis6NWvWxJkzZ0q9TdOmTfHxxx/jyy+/xKpVq6AoCjp06IATJ05c9+sUFhYiLy9P80FEVJr4TYeRe0W7PcHZYlTWTCYTnpu2CNnQbpE9JW3B2BOTkDR/gm4dV7fKKisY+mEK2mUvLbElthvNsCG6s27PG5d+toaGhmLo0KFo1aoVHnnkESQlJaFGjRpYsmTJdW8ze/Zs+Pr62j8CAgIqMGIiciY7/8jBBClJ0zbP2WJUHkweBoiBoSW2yDpJGeh/cSWSYqMddmXIthLU9vgyRBkSS2yJKQ9Hw+Sh32kNnSYRuvfeeyFJEs6ePas5fvbsWfj7+9/SfRiNRrRu3RqHDh267nWmTp2K3Nxc+8fx48fvKm4ick1WWcEjOSsQZUi0t81PrfwNZ4tRuQkZNguJVYZgq9wCx68poK6Vu9tht8liN/yOn4+cR7B4oMSWWFrgSN23kp0mEfLw8ECbNm2QnJxsP6YoCpKTkxEaGnpL9yHLMvbu3YtatWpd9zqenp7w8fHRfBARXSt+02E0LczQvLCHSL9zW4zKjcHogfCJCxBfdw4+kzuXOq1+wY/79Q3yGgVmK5Zs/h0TpKQSW2KnfVtj1cgQ3Z8zTvWMjY6Oxocffojly5dj//79GDNmDC5duoThw4cDAIYOHYqpU/85/fibb76JH3/8EX/88Qd27dqFwYMH49ixYxg5cqRe3wIRuYi0I3+VOOFdfs1gfYMil2eQRKwaGYKdAcNLnGMoypAIbJuHuT8ccIiVoQKzFe1mJeMF8csSW2KJVYYgPHKe7kkQ4GSzxp555hmcO3cO06dPx5kzZ9CqVSt8//339gLq7OxsiOI/D+qFCxcwatQonDlzBtWqVUObNm2QkpKC5s31OVcBEbkGq6zg2PnL+FnuA6DoBIoHPVsgYshMnSMjd2CQRKwY1QGDl0oIPnEA9cSic+mJAjDc8B2WbQGGHhmOFaM66JZoFBQU4KO3xyNezkSglKNZOT0r1kL4xAUOkQQBgKBeOymQNPLy8uDr64vc3FxukxERAGD++oOITdbWGnZsdA9Wj2qvU0TkjqyygoTZYzDCsgaiAKgqIAhFq5Mx1v5IqjIIG6I7V3ghcv4VMz6e9R+ME9cVDYxVAQFXYwMgd5pSIcNjb/X92zHSMSIiJ/L57lMljnGkBlU0gyRi8KRYLBIG4IJaSVM8PdzwHcIvrkborB8r7AzUVlnBvO/24YO3xmCI+G2JwuhUtCxKgrq8VCHx3ComQkREt0lUrJq2+WomgSM1SBe2cwx9Zuxtr1dTVaCacAlRhkTEy/9F+sxHsH3ppHI915CtRR7b5iFKSkQ14ZKmMPprsQtaT9tctBIkOVZVjmNFQ0Tk4KyygsHWRIwwJEIUgI5iBupW9oJB6qV3aOSmTB4GRLwch8RYIx69mIRqwiUARSsxoWJm0ZbU8QwsfPNvWB6ehMiwJmVWn2OVFcSuz8JH27IwUv0cww3f2VeCBAG4oFbCSqUXRr8Sp+u5gm6EK0JERLchbmNWibb5ZhaO7iF92Vrr11cJ16wMFd8uGyJ+C2HLe+j2btkMbC0oKEDC7DFot30ElgpvIcpQciVopdILI6a9D5PJdNdfr7w4ZnpGROSgPt99CqoShI5ihr0QlG3z5AgMkojwyHlIXe4FJTsVkiqjvZhpL6S2bZc9dWUL3p/RGSuNT2FwaMPbXiEqKCjAVwtfREjej3hOyIEgaZMu20rQZ8beGD0pFiaTRzl9x2WDXWM3wa4xIrKxygrazNyA/CsFGCt9iWDxAPZKzTH6lXgYjI79Yk/upcBsRY+5m9Anfw2GG76zb5fZKCpwXPVDkvwwAKBbpSNoHtKjqJC5lBqeArMVEUtT0O7kcjwlbUGgkGNPfGyKd60lVhmie4v8rb5/MxG6CSZCRGRTWtt8ZLfGmPhYE50iIro+W/2OuO1dREqJ9u3c4jSt7SpwXK2Bk2oNyAAkADIE7FSaAgDCpW2lJkC2+/lZaQ5ZECEGhiJk2Czd/zi41fdvbo0REd2ia9vmfb2MnC1GDssgiXixZ1MUdIlH4kITQvJ+LJHIiNf8v55wDoHqOQjFzkvUUdxnT5auZVtZ+kzujPS6EVj2XKjDFkVfj3NFS0SkE6vFjIGXP0FLYybSlSDEy33g6+XtMGfHJboek8mEAZPiUVBQgHVXa3tsCVHxFSGb4rU+AK67kuTsCZCNc0ZNRFTB0la8ghfUtRClopZ5ABBavaxzVES3zpYQWS1mbE+YBhxPRbpctK1bfNvLthJUvOZHu31WlACl1Y1AghMnQDbOHT0RUQWwygqE46malvlQ4+8I5rYYOSGD0QMPj5oDAGhrtmLYx2mIP9oP/5G+RLC4HxLUUmuE2kq/47RPK/xr3FxEO3A7/O1iIkREdBPxmw5DtjRFiGGvvWU+0+N+hHJbjJycycOAT1/ocPXSv0q9TqeKC0cXTISIiG4i7chfmknz6UoQxA4TdI6KiMoCEyEiopuQFRUyJCyQwwEZqFvVC5vDgvQOi4jKANd1iYhu4uTfVzSXBQHsFiNyEVwRIiK6AavFjGev/E/TNi+UdkIVInJKTISIiG6AbfNEro2JEBHRDRhP7mDbPJEL4yY3EdF1WGUF6UpTKFcnMioqkGm8n/VBRC6EK0JERNcRtzELCwt6o0BS2DZP5KKYCBERlcIqK0hIOappm/f1MuIXts0TuRSu7xIRlSJ+02HkXrFqjvl6GbktRuRiuCJERFSKnX/kYIKUZN8Si5f7oF+rOnqHRURljIkQEdE1rLKCR3JWYIQhEaJQ1Dbv42VARPcn9Q6NiMoY13iJiK4Rv+kwmhZmaNrmQ6TfuS1G5IL4rCYiukbakb+QrgRp2ubzawbrGxQRlQtujRERFWOVFRw7f1kzbf6gZwtEDJmpc2REVB6YCBERFRO/6TBOXLgCFGub7xh4D0YaPfQOjYjKAbfGiIiKSTvyV4lj7Rrco0MkRFQRuCJERFSMKls1bfNfVh6IsV0b6R0WEZUTJkJERFdZZQUdzyRgTLG2eV/ZAIP0qN6hEVE54dYYEdFV8ZsO4wF5v6Zt/gFlv75BEVG5YiJERHRVaW3zljoh+gZFROWKW2NERLhB2/zQt3SOjIjKExMhIiKwbZ7IXXFrjIgIbJsncldMhIjI7VktZnQ9uwwrjbMwQUqCBBl1q3mxbZ7IDXBrjIjcXvrKVzHCsgaiVNQyDwC/VB/FIatEboCJEBG5vcpn0zUt88HiAUjcFiNyC/xzh4jcmlVWsENuommZP+jZgttiRG6CK0JE5NbiNmZhYf4TyJOs9rEau+sMxUhuixG5BSZCROTWPt99CnKxlnkAmNjQT9+giKjC8E8eInJbVllB7hWL5pivl5HbYkRuhCtCROS2FibvxzDzpwg2Fm2Jxct9EBHamN1iRG6EiRARua0q6XEYXmzSvMkoYnT3J/UOi4gqkNP92RMfH4/69evDZDIhJCQEaWlpN7z+unXrEBQUBJPJhJYtW+Lbb7+toEiJyNG1lDM1bfNtxYNcDSJyM7f9jB82bBi2bNlSHrHc1Kefforo6Gi8/vrr2LVrFx588EH06NEDOTk5pV4/JSUFzz77LJ577jns3r0bffv2Rd++fZGRkVHBkRORo7HKCn4Tm2na5o96P6BvUERU4QRVVdXbuUHfvn3x7bffol69ehg+fDiGDRuGOnXqlFd8GiEhIQgODsbChQsBAIqiICAgAOPHj8eUKVNKXP+ZZ57BpUuX8PXXX9uPtW/fHq1atcLixYtv6Wvm5eXB19cXubm58PHxKZtvhIh0F7shCws27MdY6ct/2ubrjcDK0R31Do2IysCtvn/f9orQF198gZMnT2LMmDH49NNPUb9+fTz++ONITEyExWK5+R3cIbPZjF9++QVhYWH2Y6IoIiwsDKmpqaXeJjU1VXN9AOjRo8d1rw8AhYWFyMvL03wQketJO/KXvW1+iGUaFsjhaMu2eSK3c0eb4TVq1EB0dDR+/fVX7NixA/fddx+GDBmC2rVrY+LEicjKyirrOPHnn39ClmXUrFlTc7xmzZo4c+ZMqbc5c+bMbV0fAGbPng1fX1/7R0BAwN0HT0QOxSorOHb+suYYh6wSuae7qgo8ffo01q9fj/Xr10OSJPTq1Qt79+5F8+bNMX/+/LKKsUJNnToVubm59o/jx4/rHRIRlbH4TYdx4sIVzbF61b1ZKE3khm67fd5iseCrr77CsmXL8OOPP+KBBx5AVFQU/v3vf9v34D7//HOMGDECEydOLLNA7733XkiShLNnz2qOnz17Fv7+/qXext/f/7auDwCenp7w9PS8+4CJyGHt/CMHE6Qke21QvNwH7Thklcgt3XYiVKtWLSiKgmeffRZpaWlo1apViet07doVVatWLYPw/uHh4YE2bdogOTkZffv2BVBULJ2cnIxx48aVepvQ0FAkJycjKirKfmz9+vUIDQ0t09iIyHlYZQWP5KzAiGLnD/LxMiCiK88fROSObjsRmj9/Pp5++mmYTKbrXqdq1ao4cuTIXQVWmujoaAwbNgxt27ZFu3btEBMTg0uXLmH48OEAgKFDh6JOnTqYPXs2ACAyMhKPPPII5s6diyeeeAJr1qzBzp078cEHH5R5bETkHOI2ZqFtYQZEqeiyKAAh0u/cFiNyU7edCA0ZMqQ84rglzzzzDM6dO4fp06fjzJkzaNWqFb7//nt7QXR2djZE8Z8Xsw4dOuCTTz7Bq6++imnTpqFx48b44osv0KJFC72+BSLS2ee7T0FVgtBRzIAoFJ0/KL9msN5hEZFObvs8Qu6G5xEich1WWUGbmRuQf6XAfv6gvVJzjH4lHgajh97hEVEZutX3b84aIyK3Ebcx6+q0+aLzB0EGIjs1ZhJE5Ma4KU5EbuPz3ac0l329jBjf/T6doiEiR8AVISJyG6Ji1bTNf+U5kEXSRG6OiRARuQWrrGCwNVHTNl/X4AXgUb1DIyId8U8hInIL8ZsOo2lhUacYUNQ238yyT9+giEh3TISIyC2kHfkL6UoQlKt9smybJyKAW2NE5AZsQ1Z/lvsAAILFAzjo2QIRQ2bqHBkR6Y2JEBG5vLiNWVeHrP7TNt8x8B6MZNs8kdvj1hgRubxr2+YBcMgqEQHgihARuTirxYyBlz9BS2OmfdJ8ZS8TxnZtpHdoROQAmAgRkUtLW/EKXlDXQpSKWuYBQAh9mecPIiIATISIyMUZT+7QtMyHGn9HMM8mTURX8U8iInJZVllButJU0zKfabyfq0FEZMcVISJyWXEbs7CwoDcKJMU+VkPsMEHvsIjIgTARIiKX9fnuU5CLtcz7ehnxS1iQ3mERkQPh+jARuSSrrCD3ikVzzNfLyG0xItLgihARuaSFyfsxzPwpgo0H7G3z/VrV0TssInIwTISIyCVVSVuA4cUmzXsaRTzf/Um9wyIiB8M1YiJySc2tmZq2+YdwgNtiRFQCXxWIyOVYZQW7oJ00n2lorm9QROSQuDVGRC7H1jZfqGmbj9Q7LCJyQEyEiMjlsG2eiG4Vt8aIyKWwbZ6IbgdXhIjIpbBtnohuBxMhInIpVdLjNG3zJqOI0WybJ6Lr4FoxEbkMq6yguWWfpm0+WDzIbTEiui6+OhCRy4jbmIVUSxNN27ylToi+QRGRQ+PWGBG5BKusICHlKPLlPgCAYPEA9krNMXroWzpHRkSOjIkQEbmE+E2HkXvFChRrmw+s4o3/GD30Do2IHBi3xojIJaQd+avEMXaLEdHNMBEiIqdntZjR9ewyrDTOwgQpCRJk1K3mhfHd79M7NCJycNwaIyKnl77yVYywrIEoFbXMA8Av1UexW4yIboqJkAuxygpivs+EMXU+HhL2Q4IKGQJ2Kk0BAG3Fg1ePARIAGQIOerbEwInzUbmSt66xE92NymfTr2mZPwCpwT36BkVEToGJkJOzygpi12dhZeohDLUm4WlpCwKlHAgCoKqAIAAdxX0QAM0x++cs+3D8nY34UOmMtDoRWPZcKEwe/LUg57LfeD/uL9gFUShqmT/o2QJjuzbSOywicgJ8x3NStgRo6dbfMQpf4EtpCwINRQmQjVDsL+RrjxX/XD0hB5FCIn4+lYn0/4o46NmCq0TkNKyygtn5j+OE9Yp90vxXXv0xkttiRHQLmAg5GausYMGP+2FImY922I9QUUF7MVOT7NjYVn0UFdddEbIRBSBUzLy6SpSB4+9sxLc+j+Ff4+bCZDJV2PdHdLviNx3GhQJgAYpa5gEgUORLGxHdGr5aOJGCggKsmhOJp8wbESjmlJrQAEWJz3G1Bk6qNW5YI1RHOIdA4VyJ+7GtEgVcXIXYmQVQOr2EyLAmLDwlh8S2eSK6G0yEnESB2YqP3h6PMepaiMXykeJJTFEC5IevxS4oDI3EhEebwyCJ6HSd+xv+USranUhAW/EAJJRcWRIFIEL6Dsu2AN13DcQPL3Zl/RA5FFvb/AvGDPuk+VrVKrNtnohumaCqqqp3EI4sLy8Pvr6+yM3NhY+PT4V/fdtWmLB9HiKk71BNuKT5vKICPyvNIUPEad9Wd7SVVWC2ImJpCtqdXI6npC0IFHKum2A9NyWOW2XkMFI/noyQY0vsRdIx1v74pf4orB7VXu/QiEhnt/r+zT/vHZhVVjB46Q60y16KSEMixFKSky/VR2DtGGVf/bkTJg8D1vynMwrMHTD8o1QEn0jAcMM/SZdtq2yMuhaxMxVulZHDYNs8Ed0tJkIOyiorGPphCtodX4bhhu/sL/aCAFxQK2GZ9XGk1x2OlaM7lFlCYvIw4H9jOqHAHIpV744tOkHdNVtl4eIWZG87gIT0Fhg8KZarQ6Qbq6xgh9wE96tsmyeiO8dEyAFZZQWDPtyBkOPLEFXKSlCC/DjUzi9hZTmtypg8DIh4OQ6JsUaE5P1g3ypTVCBQyEE9MQcdLRn4eA4QMXURV4ZIF3Ebs7Aw/wnkSVZ72/zuOkPZNk9Et4WJkIOxWsxIio3GuNzdCJRySqwEfWbsjTFTy38lxmD0QPjEBfb6pLbCAXsSBBStDj1l+T8kzTciPHIeDJzwTRXs892nIBebNA8AExv66RsUETkd/unkQKyygqTYaPS/uBKdpAwECDmwlbIrKrC+Sjgipi6qsO0ogyQi+vH7MWb6Ekyt9F98JneGcjUeVQWqCZfQ/+JKJLwzHgVma4XERAQUPVdyr1g0x3y9jNwWI6Lb5jSJ0Pnz5zFo0CD4+PigatWqeO6555Cfn3/D23Tp0gWCIGg+XnjhhQqK+PbYCqNr5e7WFH9mq37YKrfAx8aBRSsvOiz7mzwM2PxSF6TXHY4Ya39cUCtpzjnUtDAD7WYlMxmiCrMweT+GmT/VTJuPCK3PbVoium1OszU2aNAgnD59GuvXr4fFYsHw4cMxevRofPLJJze83ahRo/Dmm2/aL3t7O+bYiAXrM9EueykCpRxNPdBncmckVRmEDdGdYTDq9+MySCJWju6AwUslIBv22iVb3VCEZS1CZ8lInfYYzzVE5a5K2gIMv/o72FHMgKdRxPPdn9Q7LCJyQk7xjrV//358//33SE9PR9u2bQEAcXFx6NWrF+bMmYPatWtf97be3t7w9/evqFDviFVWYNgeg3HFkotsxQ+fyZ2xM2A4No8qu86wu2GQRKwaGYKhH8qIOQ77OYfqiTmIEhIBCxA2z4TNL3VxiHjJdTW3ZmpWTh/CAf7OEdEdcYpXjtTUVFStWtWeBAFAWFgYRFHEjh07bnjb1atX495770WLFi0wdepUXL58+YbXLywsRF5enuajPNm2xFpjf4ktsbTAkVjhIEmQjUESsWJUB6idJiMbNTVbZE9JWzD70mtImj8BVotZ30DJZVllBbsQZK9XU1Qg09Bc36CIyGk5xYrQmTNn4Oen7QYxGAyoXr06zpw5c93b/fvf/0a9evVQu3Zt/Pbbb3j55Zdx8OBBJCUlXfc2s2fPxowZM8os9hspfq6ga7fEDnq2wKqRIQ6VBNkYJBEv9mwKi/EJKFv2arbI6ok5UC5mIDEWCJ+4wCHjJ+cWtzELCwt6o1BS7G3zYodIvcMiIielayI0ZcoUvPPOOze8zv79++/4/kePHm3/f8uWLVGrVi10794dhw8fRqNGpXeXTJ06FdHR0fbLeXl5CAgIuOMYbiRuYxbaFjtXkG1L7Ev1EYyeFOvwSYSxy0vYfuQvKMdSS7TW18rdjcFLdzhsMkfOySorSEg5qmmb9/Uy4pewIL1DIyInpWsi9OKLLyIiIuKG12nYsCH8/f2Rk5OjOW61WnH+/Pnbqv8JCQkBABw6dOi6iZCnpyc8PT1v+T7vVIHZisU//YGl4gHtlpjiB7nTZOc4Y7NkQMjwd+1jQKIEbQF1u+ylWLjBF1E9uG1BZSN+02HkXtF2J/p6GZlsE9Ed0zURqlGjBmrUqHHT64WGhuLvv//GL7/8gjZt2gAANm7cCEVR7MnNrdizZw8AoFatWncUb1mxWsxY9e54LBUyIEGBosKeQJz2be1Uk7NvVkC9cJuAgq6L2UlGZWLnHzmYICXZt8Ti5T7o16qO3mERkRNzinenZs2aoWfPnhg1ahQWL14Mi8WCcePGYeDAgfaOsZMnT6J79+5YsWIF2rVrh8OHD+OTTz5Br169cM899+C3337DxIkT0blzZzzwwAO6fj/pK18tmuMlXTs9vrVu5wq6G7YC6sFLJQSfOKDZImuN/Qibt4WdZHTXrLKCR3JWYESxtnkfLwMi2DZPRHfBad6ZVq9ejaCgIHTv3h29evXCww8/jA8++MD+eYvFgoMHD9q7wjw8PLBhwwY89thjCAoKwosvvoinnnoK//d//6fXt2B37cRsGSKmVv5vUXGxk46qsK0MnfZtrenmCRRyEH5xNYZ+mAKrrOgbJDm1uI1ZaFqYoXnuhEi/M8EmorviFCtCAFC9evUbnjyxfv36UG3zKAAEBATgp59+qojQblt+zWAox7QTszdM7Oz0L+gGSUR45DwsfLMAfYSfNFtkMceBuGQ/THysid5hkpP6fPcpqEoQOooZ9udOfs1gvcMiIifnNImQKwkeMhM7VhatDOXXDEbEkJm6njW6LBmMHrA8PAnZ2/ZrtsiCxQMYueUwxnRpyHohum222WLxch8ARb9Pe6XmGD1kps6REZGz4zuSDgxGD4SOeFfvMMpNZFgTJO1tDeVihqaL7HklEaGzVI7hoNsWtzHr6pDVf9rmIzs1dtqtZCJyHM69F0MOybZFllhlCI4pfhCAoi0yQyKGWD5DxLJ0vUMkJ2I7d1Bxvl5Gp+quJCLHxUSIyoXB6IHwiQtw1lBLM4YjWDyAtKPnOamebtn7Gw9imHmtZtI8zx1ERGWF+xNUbgySiNYdH4ey5Vf7FpkEBcsNs7Dq3a8Q8XIctzbopmr/Fo/wYi3zACC0elnnqIjIVTARonJVfAyHBAXtxaKp4R0tGUiMNXIeGd1Uk2ta5h/2yMJD3BYjojLCdyAqX1fHcEyt/F/IEDVvaLVydyMu+ZC+8ZFDs8oKtprv05ybaq/UjMkzEZUZvppQuTNIIjZM7IzdaFbiZIvS1ndRUFCgb4DksOI3Hca8gn8hxtofW+UWiLH2xyrj03qHRUQuhFtjVCFMHgYonSYi5idVM49snLoOH8+REDF1Ef/KpxLSjvylmTQPAJGtA/UNiohcCt95qMKM694MaYEjka36aTrJmhZmIHZ9lr7BkcOxWszoenaZplusbjUvts0TUZliIkQVxjaP7KBnixJbZMbt78FqMesbIDmUtBWvYIRlDTpJGYgyJGKs9CXqVffmyiERlSm+olCFMkgiBk+KRYy1v+Zki+PEdUiKjeZgVrIzntyhKa4PFg+gXYN79A2KiFwOEyGqcCaTqdQtMnaRkY1VVpCuNL2mW6w5xnZtpG9gRORymAiRLhKGB5foIktXgrB4y2GedZoQtzELcwt6a7rFzKETuS1GRGWOXWOki+JdZMHifkgo+hdKInrMMyD5pe5803NTttlixbvFfL2M+CUsSO/QiMgF8Z2GdGPrIktXmqG9mIlO0j5EGRLR5+IabpG5saJJ89pVQc4WI6LywlcW0o2ti+xhz6wSRbHcInNfX+06jglSkqZtvl+rOnqHRUQuiltjpKvSBrOmK0EolBVELEvHmudD9Q6RKpBVVvD0lU/xQrEhqyajiNHdn9Q7NCJyUUyESHfGLi8h5eh5yEdTsFNpAgEKVhpn4ZfjQbBa2nBCvRuJ25iFtnImRKnosigAT/ge47YYEZUbvrqQ/iQD2kW8g5Hqq1AhItKQhE5SBiZIiTy3kJtJ2nUS6UrQP92EAOq26qZrTETk2pgIkUMwSCJGd2qAYPEAJ9S7KausIOdiIeLlPva2+cUYAKnzJL1DIyIXxkSIHEZkWBPslZpzQr2bit90GIVWxd42P8QyDf/zehaQuINPROWHiRA5DIMkwtwhqtTxG6vmRHKLzMXt/COnRLdYeOu6eodFRC6OiRA5lBtNqOcWmeuyygoeyVmBKEOifcjq1MrfcNI8EZU7JkLkUK43oT5dCcKylCNcFXJRcRuz0LQwQ1MfFiL9zm4xIip3fJUhh2ObUB8r98dW+X78rDRHsLgfEZa1WLjhgN7hURmzjdTQdIupQH7NYH0DIyK3wCpEckgmkwlJVQZBzVuNKPvJ9fZhcaoIa9gSrhS4ENtIjXj0AVB0ZvG9UnOMHjJT58iIyB3w3YQcVvhDdUq007eUMzF46Q5ukbmQz3efAgBNt1hhh5d4Ik0iqhBMhMhhje/WGKd9W5eoFfr5yHkWTrsIq8WMgZc/0XSK+XoZWSRNRBWGW2PksAySiPDIeVj8ViFayvsgQUWwuB8TkISVKf0xvvt93CJzcmkrXsEL6lqIUtFcMQAQQl/mz5WIKgxfbcihGYweKOw4CelKM7QXM9FJ2ocoQyIGWxK5KuQCDCd3aLY+Q40HuRpERBWKiRA5vPHdGiOs0mHNG2aweACLtxxGgdmqb3B0x6yygp8tTTRbn7vRjKtBRFSh+IpDDs8gibg/tCds5dG2WqFCq4KIZem6xkZ3Lm5jFmIt/7LPFYux9sda0wC9wyIiN8MaIXIKUudJSPnjL8hHU7BTaQIBClYaZ+GX40GwWtqww8gJfb77lL1TDHLRsciH6ukbFBG5Ha4IkXOQDGgX8Q5Gqq9ChYhIQxI6SRmYICUiKTaa7fROht1iROQouCJETsMgiRjdqQGCt2nPLVQrdzfikg9h4mNN9A2Qbhm7xYjIUfBVh5xKZFgT7JWaawpsA4UceKa8B6vFrG9wdEussgLheOo13WK/czWIiHTBRIicikESYe4QhRhrfxxT/CAAqCfm4AV1LbfInETcxiykWppqktlM4/1cDSIiXXBrjJzOuO7NMPjISASfOIB6Yg4AbpE5C9uA1Xz5n7li6UoQxA4TdI6MiNwV/wQjp2OQRKwaGVJiiyxdCULS7hP6Bkc3ZBuwWnyu2HKPZzAuLEjv0IjITXFFiJySfYvsJwXB4n77+A1D/iewWh5mO70DssoKVm4/jAlSkn0lKF7ug4jQxtwWIyLdMBEipzWuezM8lDIAsKxFlCERogB0VPchMdaE8IkL+ObqYOI3HcZgy2f//KzEDJiMIkZ3f1Lv0IjIjfGdgpyWQRIxvGN9BIult9OTY0k78leJn9UTvseYsBKRrvgKRE5tfLfGpdYKJaQeZQeZg5EVFelK0D8/Kwio26qbvkERkdtzmkTorbfeQocOHeDt7Y2qVave0m1UVcX06dNRq1YteHl5ISwsDFlZWeUbKFWo4u30W+UWiLWGQ4CChdYZSJo/gecWchBWWUHm6VzEy33sP6tlhmcgdZ6kd2hE5OacJhEym814+umnMWbMmFu+zbvvvosFCxZg8eLF2LFjBypVqoQePXqgoKCgHCOlijauezOkBY7EEMs0zfiN/hdXIm3FK3qHRwAWJu9HhGUdEozvAAAiLC9jucdAQGKZIhHpy2lehWbMmAEASEhIuKXrq6qKmJgYvPrqq+jTp+icJStWrEDNmjXxxRdfYODAgeUVKlUwWzt9m5nrEWzV1qAIx3+GVVZYh6Ijq6zAIyUGLxQrkgYAodXLOkdGROREK0K368iRIzhz5gzCwsLsx3x9fRESEoLU1FQdI6PyYJBERHSor61BUYFUSxMWTussbmMWWsqZHKlBRA7JZROhM2fOAABq1qypOV6zZk3750pTWFiIvLw8zQc5h/HdGmNnwPCrNSj342elOYLF/fDgHDLd2M4kfW2Cqga05yodETkEXV+JpkyZAkEQbvhx4MCBCo1p9uzZ8PX1tX8EBARU6NenO2eQRKwY1QFLhP5IV5qhvZiJTtI+jFHXslZIJ7YzSRcvkl4sDEC7oW/pHRoREQCda4RefPFFRERE3PA6DRs2vKP79vf3BwCcPXsWtWrVsh8/e/YsWrVqdd3bTZ06FdHR0fbLeXl5TIaciEES4VfFE8H5rBXSm9Vihuf2OVhpzLSfRVqWwxHZqTHP/E1EDkPXRKhGjRqoUaNGudx3gwYN4O/vj+TkZHvik5eXhx07dtyw88zT0xOenp7lEhNVjPCH6iB9cxA6ihkQhau1QtYmiF26A6tGhjAZqiBpK17BC+paiNI/BdLLPZ5hbRARORSneUfIzs7Gnj17kJ2dDVmWsWfPHuzZswf5+fn26wQFBeHzzz8HAAiCgKioKMycORNfffUV9u7di6FDh6J27dro27evTt8FVYTr1Qq1y16KhRsqdqvVnRlO7tCsygWLBxARWp+JKBE5FKdpn58+fTqWL19uv9y6dWsAwKZNm9ClSxcAwMGDB5Gbm2u/zuTJk3Hp0iWMHj0af//9Nx5++GF8//33MJlMFRo7VSxbrVCbmZcAc7E5ZOI+LE4VYQ1bwjfjcmaVFfxsaYK24q/2VbndaMbVICJyOIKqqqreQTiyvLw8+Pr6Ijc3Fz4+PnqHQ7dh/vqDaLtlBDpJGfZjW+UWiK87h1tk5Wz++oNYmHwQY6Uv7ZPmv6oyEJunPKp3aETkJm71/dtpVoSIbtf4bo2R9GtrKBf/qRVKV4Lw85HziEs+hImPNdE7RJdka5mXIWGBHA7IRccjH6qnb2BERKXgn8TksgySiPDIeVgsDNDUCk2QkvDlrmN6h+eyFibvxzDzWqw0zsIEKQkSZPh6GbktRkQOiStC5NIMRg8UdpyE9M3vamqFhHygwNwVJg8+BcrSdcdphL7MrUgickh8ZSKXN75bY4QaD2o6mNoKBxA2fwussqJvcC6G4zSIyNkwESKXZ5BEqAGhmhEP6UoQTly4wjlkZYjjNIjIGXFfgNxCu6Fv4eN38tC0MAM7lSYQoGClcRZ2b22Ggs4LeUqFMmCrDQoW9+NnpTlkCNgr3Y/RHKdBRA6Mf6aRWzAYPTB4cjxGqq9ChYhIQxI6SRkYJ67DqjmR3CK7S7baoChDIjpJ+9BezES60gyFHV7iOA0icmhMhMhtmDwMeOGRhggWtXPImhZmcIvsLrE2iIicFRMhcivjuzXGQc8WmhqWQCEHHinvwWox6xucE0vadZK1QUTklPgqRW7FIIkYPCkWsXJ/HFP8IACoJ+ZgjLoWaSte0Ts8p2SVFeRcLES83OfqfLcWWKg8jXasDSIiJ8BiaXI7JpMJSVUGoW3+AdQTcwAUbeUIx3+GVVa4inE7ZCvSEqZiqZCCdCkI8XIfyHI4Aqp5YQJrg4jICfAVn9xS+EN1SmzlpFqaYPDSHSycvg3yljlof/wDdJIyEGVIxFjpSwBAeOu6OkdGRHRrmAiRWxrfrTF2Bgy/upXzz/iNdtlLsXDDAb3DcwpWWcG+1O/tLyKiAASLBzhOg4icChMhcksGScSKUR2w3GMA0pVmaC9mopO0r2gMx7Z5KDBb9Q7R4cVtzMKGS41KnKgyIrQ+txeJyGmwRojclkESEdGhPtpu0bbTt8Z+hM3fgs2TuvAN/TpsZ5HOl/sAKFoJSleCsMrYH2lcDSIiJ8JXeXJr47s1xmnf1iXa6cPzVmPBj/v1Dc6B2c4inWB8BwAQYXkZC+RwDOnQiMkjETkVvmKRWzNIIsIj5+Fj40BNO32UIRGGlPksnC6F9izS/xRJt29QnbVBROR0mAiR27ON38hW/SBcs0XGLrKSrncW6VUjQ7gaREROh69aRCgav3HtFlm6EoSfj5zn+I1irLKCZds5YZ6IXAeLpYmu+te4OVj4VgFaYz8n1F/HwuT9iLBoJ8zvRnP8h2eRJiInxT/hiK4ymUyQO7+EIZZpnFBfiutNmF9X+d+cME9ETouJEFEx47s1RvsG1UudUO/u9UKl1QYFiwd4FmkicmpMhIiKMUgiVo0MKXVCvTufdbrAbMXin/4oURt02rc1O8WIyKkxESK6hm1C/ULl6RIt9cZU92upt8oKeszbhOfVRHtt0Fb5fiwWBiA8ch6LpInIqfEVjKgUtnqha1vqH5Az3a6LLG5jFvpcXFOiNqiww0usDSIip8dEiOg6xndrjN+k5iW2yKSt76KgoEDf4CqIrV3+2pqphz2zuCVGRC6BiRDRdRgkEZYOUYix9tdskY0T1+Gjt8e7/mBW2Yq0hJcRL78JCYomIWzd8XFuiRGRS+ArGdENjOveDGmBI0vdIgubv8Wl64Usm99D++wP0EnKQHsx82ptUAssMw6EsctLeodHRFQmmAgR3cCNushceTCrVVawe/t3mu0wGSKGWKYhr92LgMRzsRKRa2AiRHQTti6yRcKAEl1kwvZ5LrdFZpUVDF66A9sKG5cYOcLBqkTkapgIEd0Ck8mE56YtKrFF1lY4gHazkl0qGVqYvB/tspdqWuVjrP3xZZWBHKxKRC6Hr2hEt6i0wawSFMTLb2LVu2NhtZj1DbAMFJitELfOL9Eqv0Tojx+iuzIJIiKXw41+otvwr3FzsOjtQjwgZ0KCgvZi0ciJjpYMJMYaET5xgdMmC1ZZQdi8LZiN/SXGaAidGsHkwZcLInI9zvmKTaQT2xbZWGk6ZIiahKFW7m6nnke2MHk/wi+uRqCQA5VjNIjITTARIrpNJg8D0qZ1x240K3UemTN2khXfEqsn5kAFcEzxw0LlaY7RICKXxlc3ojtg8jBA6TSxxMkWnbGTrMBsRbtZyWh9zZZYtuoHS0eO0SAi18ZEiOgOXe9kixHSd/ho1hinGMNRYLYidNaPiLCsLXVLLPLRxvoGSERUzpgIEd2h0k62qKpANeESxqhrHX4Mh20laIjlsxJbYh8bB3JLjIjcgqCqtr8BqTR5eXnw9fVFbm4ufHx89A6HHFBBQQE+ens8/q1+g2rCJfvxY4ofsuEHMTAUIcNmOdQWk9ViRsI749G0MAOBQg7qiTn2z6WiJVpP28wuMSJyarf6/s0/94jukq2T7BPhiRLF053EDIQe/xA7lr+ib5DFWGUFSbHRGGFZg05SBgKKb4kBaNvpCSZBROQ2mAgRlQGThwHPTYnDImEAtsotcPyauiHlWArm/nBA99Z62/iMWrm7SxRGb1VaQu40hQNVicitMBEiKiPFzzH0mdy5xOqQsOU9DP0wRbdkyCorGPphCtplLy1RGP2Z3BlpHT6CsftUDlQlIrfCGqGbYI0Q3S5bJ9YQy2d4StpSlAQJRQnHcdUP6z26YfCkWJhMpgqLySorGPThDoQcX4ooQ2LRKtXVeD6TO2NnwHCsGNWBxdFE5DJYI0SkE5OHAanTHkOCcUCJ1vp6Yg5GWNZUaEdZgdmK7u8mI+T4Ugw3fFdiSywtcCSTICJyW3zlIyoHtrNPF2+ttxEF4N/qN1j05vOY931GuW2VWWUF877bh0VvPo8VV/6DiYZEVBMulThXECfKE5E7c5pXv7feegsdOnSAt7c3qlateku3iYiIgCAImo+ePXuWb6BEV5k8DIh4OQ6JVYbgmOJnT0Bs5xqKlBLRfvso7JjRGduXTirT6fUFZiu6vLcZ2DYPkVLROYJsK1OCAFxQK/FcQUREcKLp82azGU8//TRCQ0Px0Ucf3fLtevbsiWXLltkve3p6lkd4RKUyGD0QPnEBhnyQguATyzDc8J39XEOiAISKmUX1Q8f34uN3LmLw5Pi7al23ygoW/LgfwvZ5mC0cQKCUY98Ks1FU4DNjbwyeHA+D0WleAoiIyoXTvArOmDEDAJCQkHBbt/P09IS/v385RER0awySiJWjOyB2fQ0kbAMipaJiZVWFpn7oKcv/4f0ZVqw0PoXBoQ0RGdbklldrCsxWDP8oFcEnEooKtKV/CrRtX8dWHH0isA8ihs1iEkREBCdKhO7U5s2b4efnh2rVqqFbt26YOXMm7rnnnutev7CwEIWFhfbLeXl5FREmuTiDJOLFnk1R0CUeH88xoGlhBiQoaC9m2pOiasIlRBkS8ZTyE05uq4HUbQJ2qs2QVicCy54L1a4UyVZYNr+H/Tt+QPKlBgCAt6VtCDT8swUGFCVYxxQ/ZCt+OOjZAoMnxaJeBXarERE5Oqdrn09ISEBUVBT+/vvvm153zZo18Pb2RoMGDXD48GFMmzYNlStXRmpqKiRJKvU2b7zxhn31qTi2z1NZscoKYtdnYcmW3/GC8IVmu8ym+CrOz0pzyBAgQYUMQAJQRziHQOGc/ToCoEmAbBQViLH2x46AkVg9ikXRROQ+brV9XtdEaMqUKXjnnXdueJ39+/cjKCjIfvl2EqFr/fHHH2jUqBE2bNiA7t27l3qd0laEAgICmAhRmSswWzHs4zSEHP/Ifm6f0tiSomv/vRHbNtiX6iOwdozChEebMwkiIrdyq4mQrltjL774IiIiIm54nYYNG5bZ12vYsCHuvfdeHDp06LqJkKenJwuqqUKYPAz49IUOKCh4CIkLTQjJ+9F+8sXSkp5r/7UpviJkS4C+FrugMDSSCRAR0U3omgjVqFEDNWrUqLCvd+LECfz111+oVatWhX1NopsxmUwYMCkeVosZ2xOmAcdTIKqqfTuseB1R8eTIlvQkyQ8DANqKv+OgZwsMnDgfYyt56/xdERE5B6cpls7Ozsb58+eRnZ0NWZaxZ88eAMB9992HypUrAwCCgoIwe/Zs9OvXD/n5+ZgxYwaeeuop+Pv74/Dhw5g8eTLuu+8+9OjRQ8fvhKh0BqMHHh41x365wGxFxNIU/HxyOYLF/ZoaIRkC0pVmeF/ug4fq34sVI9rB5GFAJ92iJyJyTk6TCE2fPh3Lly+3X27dujUAYNOmTejSpQsA4ODBg8jNzQUASJKE3377DcuXL8fff/+N2rVr47HHHsN///tfbn2RUzB5GLDmP50BdC71850ARFdoRERErsfpusYqGoeuEhEROR8OXSUiIiK6CSZCRERE5LaYCBEREZHbYiJEREREbouJEBEREbktJkJERETktpgIERERkdtiIkRERERui4kQERERuS0mQkREROS2mAgRERGR23Kaoat6sY1iy8vL0zkSIiIiulW29+2bjVRlInQTFy9eBAAEBAToHAkRERHdrosXL8LX1/e6n+f0+ZtQFAWnTp1ClSpVIAiC3uHoLi8vDwEBATh+/PgNp/nS3eHjXDH4OFcMPs4Vg4+zlqqquHjxImrXrg1RvH4lEFeEbkIURdStW1fvMByOj48Pn2gVgI9zxeDjXDH4OFcMPs7/uNFKkA2LpYmIiMhtMREiIiIit8VEiG6Lp6cnXn/9dXh6euodikvj41wx+DhXDD7OFYOP851hsTQRERG5La4IERERkdtiIkRERERui4kQERERuS0mQkREROS2mAjRXSssLESrVq0gCAL27Nmjdzgu5ejRo3juuefQoEEDeHl5oVGjRnj99ddhNpv1Ds3pxcfHo379+jCZTAgJCUFaWpreIbmc2bNnIzg4GFWqVIGfnx/69u2LgwcP6h2Wy3v77bchCAKioqL0DsUpMBGiuzZ58mTUrl1b7zBc0oEDB6AoCpYsWYJ9+/Zh/vz5WLx4MaZNm6Z3aE7t008/RXR0NF5//XXs2rULDz74IHr06IGcnBy9Q3MpP/30E8aOHYuff/4Z69evh8ViwWOPPYZLly7pHZrLSk9Px5IlS/DAAw/oHYrTYPs83ZXvvvsO0dHR+Oyzz3D//fdj9+7daNWqld5hubT33nsPixYtwh9//KF3KE4rJCQEwcHBWLhwIYCimYIBAQEYP348pkyZonN0ruvcuXPw8/PDTz/9hM6dO+sdjsvJz8/HQw89hPfffx8zZ85Eq1atEBMTo3dYDo8rQnTHzp49i1GjRmHlypXw9vbWOxy3kZubi+rVq+sdhtMym8345ZdfEBYWZj8miiLCwsKQmpqqY2SuLzc3FwD4+1tOxo4diyeeeELzu003x6GrdEdUVUVERAReeOEFtG3bFkePHtU7JLdw6NAhxMXFYc6cOXqH4rT+/PNPyLKMmjVrao7XrFkTBw4c0Ckq16coCqKiotCxY0e0aNFC73Bczpo1a7Br1y6kp6frHYrT4YoQaUyZMgWCINzw48CBA4iLi8PFixcxdepUvUN2Srf6OBd38uRJ9OzZE08//TRGjRqlU+REd2bs2LHIyMjAmjVr9A7F5Rw/fhyRkZFYvXo1TCaT3uE4HdYIkca5c+fw119/3fA6DRs2xIABA/B///d/EATBflyWZUiShEGDBmH58uXlHapTu9XH2cPDAwBw6tQpdOnSBe3bt0dCQgJEkX/D3Cmz2Qxvb28kJiaib9++9uPDhg3D33//jS+//FK/4FzUuHHj8OWXX2LLli1o0KCB3uG4nC+++AL9+vWDJEn2Y7IsQxAEiKKIwsJCzedIi4kQ3ZHs7Gzk5eXZL586dQo9evRAYmIiQkJCULduXR2jcy0nT55E165d0aZNG6xatYovaGUgJCQE7dq1Q1xcHICibZvAwECMGzeOxdJlSFVVjB8/Hp9//jk2b96Mxo0b6x2SS7p48SKOHTumOTZ8+HAEBQXh5Zdf5lbkTbBGiO5IYGCg5nLlypUBAI0aNWISVIZOnjyJLl26oF69epgzZw7OnTtn/5y/v7+OkTm36OhoDBs2DG3btkW7du0QExODS5cuYfjw4XqH5lLGjh2LTz75BF9++SWqVKmCM2fOAAB8fX3h5eWlc3Suo0qVKiWSnUqVKuGee+5hEnQLmAgRObD169fj0KFDOHToUIkEk4u5d+6ZZ57BuXPnMH36dJw5cwatWrXC999/X6KAmu7OokWLAABdunTRHF+2bBkiIiIqPiCiUnBrjIiIiNwWKy6JiIjIbTERIiIiIrfFRIiIiIjcFhMhIiIicltMhIiIiMhtMREiIiIit8VEiIiIiNwWEyEiIiJyW0yEiIiIyG0xESIiIiK3xUSIiNzKuXPn4O/vj1mzZtmPpaSkwMPDA8nJyTpGRkR64KwxInI73377Lfr27YuUlBQ0bdoUrVq1Qp8+fTBv3jy9QyOiCsZEiIjc0tixY7Fhwwa0bdsWe/fuRXp6Ojw9PfUOi4gqGBMhInJLV65cQYsWLXD8+HH88ssvaNmypd4hEZEOWCNERG7p8OHDOHXqFBRFwdGjR/UOh4h0whUhInI7ZrMZ7dq1Q6tWrdC0aVPExMRg79698PPz0zs0IqpgTISIyO289NJLSExMxK+//orKlSvjkUcega+vL77++mu9QyOiCsatMSJyK5s3b0ZMTAxWrlwJHx8fiKKIlStXYuvWrVi0aJHe4RFRBeOKEBEREbktrggRERGR22IiRERERG6LiRARERG5LSZCRERE5LaYCBEREZHbYiJEREREbouJEBEREbktJkJERETktpgIERERkdtiIkRERERui4kQERERuS0mQkREROS2/h/g0Zm0+WOogAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7/7 [==============================] - 0s 892us/step\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import tensorflow as tf\n",
    "\n",
    "# 生成数据集，选取函数y=sin(x)+0.3x, x∈[-5,5]\n",
    "def generate_data(n_train=1000, n_test=200):\n",
    "    # 生成训练数据\n",
    "    x_train = np.linspace(-5, 5, n_train).reshape(-1, 1)\n",
    "    y_train = np.sin(x_train) + 0.3 * x_train\n",
    "    \n",
    "    # 生成测试数据\n",
    "    x_test = np.linspace(-5, 5, n_test).reshape(-1, 1)\n",
    "    y_test = np.sin(x_test) + 0.3 * x_test\n",
    "    \n",
    "    return (x_train, y_train), (x_test, y_test)\n",
    "\n",
    "\n",
    "#数据可视化\n",
    "(x_train, y_train), (x_test, y_test) = generate_data()\n",
    "plt.scatter(x_train, y_train, s=5, label='Train Data')\n",
    "plt.scatter(x_test, y_test, s=5, label='Test Data')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "plt.title('Generated Data')\n",
    "plt.show()\n",
    "\n",
    "\n",
    "# 定义模型结构，TensorFlow 实现\n",
    "model = tf.keras.Sequential([\n",
    "    # 第一层：128个神经元，ReLU激活，输入形状为(1,)（单个特征）\n",
    "    tf.keras.layers.Dense(128, activation='relu', input_shape=(1,)),\n",
    "    # 输出层：1个神经元，无激活函数（回归任务）\n",
    "    tf.keras.layers.Dense(1)\n",
    "])\n",
    "\n",
    "# 编译模型\n",
    "model.compile(\n",
    "    optimizer=tf.keras.optimizers.Adam(learning_rate=0.01), # Adam优化器，学习率0.01\n",
    "    loss='mse' # 损失函数为均方误差\n",
    ")\n",
    "\n",
    "history = model.fit(\n",
    "    x_train, y_train,\n",
    "    epochs=500,       # 训练500轮\n",
    "    batch_size=32,    # 每批32个样本\n",
    "    validation_data=(x_test, y_test),    # 验证集用于监控过拟合\n",
    "    verbose=0         # 不输出进度条\n",
    ")\n",
    "\n",
    "# 绘制损失曲线\n",
    "plt.plot(history.history['loss'], label='Train Loss')\n",
    "plt.plot(history.history['val_loss'], label='Test Loss')\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('MSE')\n",
    "plt.legend()\n",
    "plt.title('Training History')\n",
    "plt.show()\n",
    "\n",
    "# 绘制真实函数与预测结果对比\n",
    "x_plot = np.linspace(-5, 5, 200).reshape(-1, 1)\n",
    "y_true = np.sin(x_plot) + 0.3 * x_plot\n",
    "y_pred = model.predict(x_plot)\n",
    "\n",
    "# 预测结果可视化\n",
    "plt.plot(x_plot, y_true, label='True Function')\n",
    "plt.plot(x_plot, y_pred, '--', label='Model Prediction')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "plt.title('Fitting Result')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
